CN109808508B - A fault-tolerant control strategy for the drive system of a distributed drive electric vehicle - Google Patents

A fault-tolerant control strategy for the drive system of a distributed drive electric vehicle Download PDF

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CN109808508B
CN109808508B CN201910126899.4A CN201910126899A CN109808508B CN 109808508 B CN109808508 B CN 109808508B CN 201910126899 A CN201910126899 A CN 201910126899A CN 109808508 B CN109808508 B CN 109808508B
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杨波
程阳
裴晓飞
张震
林晨
余嘉星
张佳琛
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Wuhan University of Technology WUT
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Abstract

The invention discloses a fault-tolerant control strategy of a driving system of a distributed driving electric automobile, which is used for carrying out fault-tolerant control on a vehicle under the condition that a certain wheel is known to be invalid; and (3) upper layer control: selecting yaw velocity and mass center deflection angle of the vehicle as control targets, establishing a vehicle yaw moment control system under failure fault, and calculating to obtain an expected yaw moment through a sliding mode variable structure control strategy based on constraint of the yaw velocity and the mass center deflection angle; and (3) controlling the lower layer: the dynamic and stability torque coordination optimization distribution strategy is realized through sliding mode variable structure control or LQR respectively, the distribution of wheel torque is calculated by combining the expected yaw moment, the torque redistribution is carried out on the wheels which normally work, and the driving stability of the vehicle is ensured. The invention can redistribute the moment of wheels which normally work, and the wheels can meet the preset driving track to the maximum extent, thereby avoiding sudden change and ensuring the safety and stability of vehicle driving.

Description

一种分布式驱动电动汽车的驱动系统容错控制策略A fault-tolerant control strategy for the drive system of a distributed drive electric vehicle

技术领域technical field

本发明涉及分布式驱动电动汽车控制领域,尤其涉及一种分布式驱动电动汽车的驱动系统容错控制策略。The invention relates to the field of distributed drive electric vehicle control, in particular to a fault-tolerant control strategy for a drive system of a distributed drive electric vehicle.

背景技术Background technique

目前环境形势下,电动车是汽车行业研究的热点及重点。分布式驱动电动汽车是电动车的一种,有四轮可以独立驱动的优势,更加便于控制各轮胎纵向力,出现失效情况时,分布式驱动电动汽车能更好的减小失效带来的危害和损失。Under the current environmental situation, electric vehicles are the focus and focus of research in the automotive industry. Distributed drive electric vehicle is a kind of electric vehicle. It has the advantage that four wheels can be driven independently, which makes it easier to control the longitudinal force of each tire. When failure occurs, distributed drive electric vehicle can better reduce the harm caused by failure. and losses.

现已有的稳定性或者动力性控制策略一般都基于正常行驶状态下的车辆,适用于失效情况下的容错控制策略的专利较少。车辆行驶过程中若突然出现驱动失效情况,不及时进行容错控制,将会严重影响行车安全性。The existing stability or dynamic control strategies are generally based on vehicles under normal driving conditions, and there are few patents on fault-tolerant control strategies applicable to failures. If there is a sudden drive failure during the driving process of the vehicle, if the fault-tolerant control is not carried out in time, it will seriously affect the driving safety.

发明内容SUMMARY OF THE INVENTION

本发明要解决的技术问题在于针对现有技术中的缺陷,提供一种分布式驱动电动汽车的驱动系统容错控制策略。The technical problem to be solved by the present invention is to provide a fault-tolerant control strategy for a drive system of a distributed drive electric vehicle, aiming at the defects in the prior art.

本发明解决其技术问题所采用的技术方案是:The technical scheme adopted by the present invention to solve its technical problems is:

本发明提供一种分布式驱动电动汽车的驱动系统容错控制策略,电动汽车的驱动系统中,上层控制器采用滑模变结构控制,下层控制器采用滑模变结构控制或者LQR;该容错控制策略包括以下步骤:The invention provides a fault-tolerant control strategy for a drive system of a distributed driving electric vehicle. In the drive system of the electric vehicle, the upper controller adopts sliding mode variable structure control, and the lower controller adopts sliding mode variable structure control or LQR; the fault-tolerant control strategy Include the following steps:

在已知某个车轮失效的情况下,采用容错控制策略进行车辆的容错控制;When a certain wheel is known to fail, the fault-tolerant control strategy is used to carry out the fault-tolerant control of the vehicle;

上层控制:选取车辆的横摆角速度和质心偏转角作为控制目标,建立失效故障下车辆横摆力矩控制体系,通过基于横摆角速度和质心偏转角进行约束的滑模变结构控制策略,计算得到期望横摆力矩;Upper-level control: The yaw rate and the deflection angle of the center of mass of the vehicle are selected as the control targets, and the vehicle yaw moment control system under failure fault is established. Through the sliding mode variable structure control strategy constrained based on the yaw rate and the deflection angle of the center of mass, the expectation is calculated. yaw moment;

下层控制:通过滑模变结构控制或者LQR分别实现动力学及稳定性转矩协调优化分配策略,结合期望横摆力矩,计算出车轮力矩的分配,对正常工作的车轮进行力矩重分配,保证车辆的行驶稳定。Lower layer control: through sliding mode variable structure control or LQR to realize the coordinated optimal distribution strategy of dynamic and stability torque, combined with the expected yaw moment, calculate the distribution of wheel torque, and redistribute the torque to the normal working wheels to ensure the vehicle driving stability.

进一步地,本发明的上层控制中采用滑模变结构控制得到车辆的期望横摆力矩;设计了附加横摆力矩控制器,用滑模变结构控制得到期望的附加横摆力矩M;选取质心侧偏角β和横摆角速度γ作为状态变量,输入为车辆的质心侧偏角β与横摆角速度γ与实际的值的误差,输出为M,公式如下:Further, in the upper layer control of the present invention, the sliding mode variable structure control is used to obtain the desired yaw moment of the vehicle; an additional yaw moment controller is designed, and the sliding mode variable structure control is used to obtain the desired additional yaw moment M; The declination angle β and the yaw angular velocity γ are used as state variables, the input is the error between the vehicle's center of mass slip angle β and the yaw angular velocity γ and the actual value, and the output is M, the formula is as follows:

s=eγ-c·eβ=γd-γ+c·(βd-β)s=e γ -c·e βd -γ+c·(β d -β)

Figure BDA0001973913640000021
Figure BDA0001973913640000021

Figure BDA0001973913640000022
Figure BDA0001973913640000022

又由

Figure BDA0001973913640000023
可得:by
Figure BDA0001973913640000023
Available:

Figure BDA0001973913640000024
Figure BDA0001973913640000024

其中,

Figure BDA0001973913640000025
in,
Figure BDA0001973913640000025

Figure BDA0001973913640000026
Figure BDA0001973913640000026

其中,c、ε为控制器设计参数,β为质心侧偏角,βd为期望质心侧偏角,γ为横摆角速度,γd为期望横摆角速度,m为整车整备质量,vx为纵向车速,Fyf、Fyr为车辆前、后轮横向力,δf为前轮转角,αf、αr为前后轮侧偏角,lf、lr为质心到前、后轴的距离,kf、kr为前、后轮侧偏刚度,IZ为车辆绕Z轴的转动惯量。Among them, c and ε are the design parameters of the controller, β is the side-slip angle of the center of mass, β d is the expected side-slip angle of the center of mass, γ is the yaw angular velocity, γ d is the expected yaw angular velocity, m is the curb weight of the vehicle, v x is the longitudinal vehicle speed, F yf and F yr are the lateral forces of the front and rear wheels of the vehicle, δ f is the front wheel rotation angle, α f , α r are the front and rear wheel slip angles, l f , l r are the center of mass to the front and rear axles distance, k f and k r are the cornering stiffness of the front and rear wheels, and I Z is the moment of inertia of the vehicle around the Z axis.

进一步地,本发明的下层控制中采用动力学及稳定性转矩协调优化分配策略,通过滑模变结构控制或者LQR实现两种控制策略,并实现软件冗余,减小软件出错的情况。Further, the lower layer control of the present invention adopts the coordinated optimal distribution strategy of dynamics and stability torque, realizes two control strategies through sliding mode variable structure control or LQR, and realizes software redundancy to reduce software errors.

进一步地,本发明的下层控制中采用滑模变结构控制策略的具体方法为:Further, the concrete method of adopting the sliding mode variable structure control strategy in the lower layer control of the present invention is:

上层控制中用滑模变结构控制得到期望驱动力矩T;先建立附加横摆力矩M和纵向滑移率λ的关系:通过动力学方程,得到附加横摆力矩M与轮胎纵向力Fx的关系,再由魔术公式查表得到对应的滑移率λ,从而将上层控制器得到的期望附加横摆力矩经过转换得到纵向滑移率λ;通过滑移率,再建立λ和T的关系;选取纵向滑移率λ为状态变量,以期望值和实际值的误差作为控制输入,最终求得驱动力矩;其计算公式为:In the upper layer control, the sliding mode variable structure control is used to obtain the desired driving moment T; first, the relationship between the additional yaw moment M and the longitudinal slip rate λ is established: through the dynamic equation, the relationship between the additional yaw moment M and the tire longitudinal force F x is obtained , and then look up the table by the magic formula to obtain the corresponding slip rate λ, so that the desired additional yaw moment obtained by the upper controller is converted to obtain the longitudinal slip rate λ; through the slip rate, the relationship between λ and T is established; The longitudinal slip rate λ is the state variable, and the error between the expected value and the actual value is used as the control input, and the driving torque is finally obtained; its calculation formula is:

Figure BDA0001973913640000031
Figure BDA0001973913640000031

Figure BDA0001973913640000032
Figure BDA0001973913640000032

Figure BDA0001973913640000033
Figure BDA0001973913640000033

Figure BDA0001973913640000034
Figure BDA0001973913640000034

Figure BDA0001973913640000035
Figure BDA0001973913640000035

其中

Figure BDA0001973913640000036
in
Figure BDA0001973913640000036

其中,λ为纵向滑移率,λd为期望纵向滑移率,q为滑模控制器设计参数,vx为纵向车速,ω为车辆旋转角速度,R表示车轮半径,Tt表示驱动力矩,μ为路面附着系数,Fz为车辆垂向载荷,J表示车轮的转动惯量,g为重力加速度。where λ is the longitudinal slip rate, λ d is the desired longitudinal slip rate, q is the design parameter of the sliding mode controller, v x is the longitudinal vehicle speed, ω is the vehicle rotational angular velocity, R is the wheel radius, T t is the driving torque, μ is the road adhesion coefficient, F z is the vertical load of the vehicle, J is the moment of inertia of the wheel, and g is the gravitational acceleration.

进一步地,本发明的下层控制中采用LQR控制策略的具体方法为:Further, the concrete method that adopts the LQR control strategy in the lower layer control of the present invention is:

用LQR来控制失效后的力矩分配,通过对四个独立驱动的车轮施加不同大小的驱动力,来产生期望横摆力矩,下列公式为根据LQR控制力矩分配后得到的四个车轮所需要的力矩变化量:LQR is used to control the torque distribution after failure, and the desired yaw moment is generated by applying different driving forces to the four independently driven wheels. The following formula is the torque required by the four wheels obtained after the torque distribution is controlled according to the LQR Variation:

Figure BDA0001973913640000037
Figure BDA0001973913640000037

Figure BDA0001973913640000041
Figure BDA0001973913640000041

其中,M为上层控制器得到的附加横摆力矩,R表示车轮半径,df、dr为前、后轴距,lf、lr为质心到前、后轴的距离,δf为前轮转角。Among them, M is the additional yaw moment obtained by the upper controller, R is the wheel radius, d f and d r are the front and rear wheelbases, l f and l r are the distances from the center of mass to the front and rear axles, and δ f is the front and rear axles. Turning angle.

进一步地,本发明的下层控制中的动力学及稳定性转矩协调优化分配策略,针对车辆行驶理论,添加纵向驱动力、能提供最大驱动力、地面最大附着作为本约束条件:Further, the dynamic and stability torque coordination optimization distribution strategy in the lower layer control of the present invention, according to the vehicle driving theory, adds longitudinal driving force, can provide maximum driving force, and maximum ground adhesion as the constraints:

轮胎摩擦椭圆限制:

Figure BDA0001973913640000042
Tire Friction Ellipse Limits:
Figure BDA0001973913640000042

路面附着和能提供最大驱动力对纵向力的限制:Road adhesion and the limit of longitudinal force that can provide maximum driving force:

max(-μFzi,-Fm)≤Fxi≤min(μFzi,Fm)max(-μF zi ,-F m )≤F xi ≤min(μF zi ,F m )

其中,Fxi为车轮纵向力,Fyi为车轮横向力,Fzi为车轮垂向载荷,μ为路面附着系数,Fm为车轮纵向力的最大值。Among them, F xi is the wheel longitudinal force, F yi is the wheel lateral force, F zi is the wheel vertical load, μ is the road adhesion coefficient, and F m is the maximum wheel longitudinal force.

本发明产生的有益效果是:本发明的分布式驱动电动汽车的驱动系统容错控制策略,针对车辆行驶过程中出现的驱动失效问题进行容错控制,上层根据滑模变结构控制得到期望横摆力矩,下层通过滑模变结构控制或者LQR(线性二次调节器)得到分配给每个车轮的力矩。对正常工作的车轮进行力矩重分配,最大可能符合预定行车轨迹,避免突发的变化,保证车辆行驶安全和稳定。The beneficial effects of the present invention are: the fault-tolerant control strategy of the drive system of the distributed drive electric vehicle of the present invention performs fault-tolerant control for the drive failure problem that occurs during the driving process of the vehicle, and the upper layer obtains the desired yaw moment according to the sliding mode variable structure control, The lower layer gets the torque distributed to each wheel through sliding mode variable structure control or LQR (Linear Quadratic Regulator). The torque redistribution is performed on the normal working wheels, which may conform to the predetermined driving trajectory to the greatest extent, avoid sudden changes, and ensure the safety and stability of the vehicle.

附图说明Description of drawings

下面将结合附图及实施例对本发明作进一步说明,附图中:The present invention will be further described below in conjunction with the accompanying drawings and examples, in which:

图1是本发明实施例的结构示意图;1 is a schematic structural diagram of an embodiment of the present invention;

具体实施方式Detailed ways

为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅用以解释本发明,并不用于限定本发明。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.

如图1所示,本发明实施例的分布式驱动电动汽车的驱动系统容错控制策略,在电动汽车的驱动系统中,上层控制器采用滑模变结构控制,下层控制器采用滑模变结构控制或者LQR;该容错控制策略包括以下步骤:As shown in FIG. 1, the fault-tolerant control strategy of the drive system of the distributed drive electric vehicle according to the embodiment of the present invention, in the drive system of the electric vehicle, the upper controller adopts sliding mode variable structure control, and the lower controller adopts sliding mode variable structure control Or LQR; this fault-tolerant control strategy includes the following steps:

在已知某个车轮失效的情况下,采用容错控制策略进行车辆的容错控制;When a certain wheel is known to fail, the fault-tolerant control strategy is used to carry out the fault-tolerant control of the vehicle;

上层控制:选取车辆的横摆角速度和质心偏转角作为控制目标,建立失效故障下车辆横摆力矩控制体系,通过基于横摆角速度和质心偏转角进行约束的滑模变结构控制策略,计算得到期望横摆力矩;Upper-level control: The yaw rate and the deflection angle of the center of mass of the vehicle are selected as the control targets, and the vehicle yaw moment control system under failure faults is established. Through the sliding mode variable structure control strategy constrained based on the yaw rate and the deflection angle of the center of mass, the expected yaw moment;

下层控制:通过滑模变结构控制或者LQR分别实现动力学及稳定性转矩协调优化分配策略,结合期望横摆力矩,计算出车轮力矩的分配,对正常工作的车轮进行力矩重分配,保证车辆的行驶稳定。Lower layer control: through sliding mode variable structure control or LQR to realize the coordinated optimal distribution strategy of dynamic and stability torque, combined with the expected yaw moment, calculate the distribution of wheel torque, and redistribute the torque to the normal working wheels to ensure the vehicle driving stability.

假设可以检测到每个车辆的纵向力,故本发明在已知某个车轮失效的情况下进行容错控制。上层控制器根据横摆角速度和质心侧偏角的差值进行滑模控制,得到期望横摆力矩。下层具体实施控制的时候,通过横摆力矩决策出车轮力矩的分配。Assuming that the longitudinal force of each vehicle can be detected, the present invention performs fault-tolerant control when a certain wheel is known to fail. The upper controller performs sliding mode control according to the difference between the yaw rate and the center of mass slip angle to obtain the desired yaw moment. When the lower layer implements the control, the wheel torque distribution is determined by the yaw moment.

上层输入实际横摆角速度和质心侧偏角,通过滑模公式计算出期望横摆力矩M,进而输入下层控制器。The upper layer inputs the actual yaw rate and the center of mass slip angle, calculates the expected yaw moment M through the sliding mode formula, and then inputs it to the lower layer controller.

s=eγ-c·eβ=γd-γ+c·(βd-β)s=e γ -c·e βd -γ+c·(β d -β)

Figure BDA0001973913640000051
Figure BDA0001973913640000051

Figure BDA0001973913640000052
Figure BDA0001973913640000052

又由

Figure BDA0001973913640000053
可得:by
Figure BDA0001973913640000053
Available:

Figure BDA0001973913640000054
Figure BDA0001973913640000054

下层输入为期望横摆力矩M。The lower input is the desired yaw moment M.

(1)以滑模变结构控制为例,输入为期望横摆力矩M,由汽车动力学模型可以得到M和纵向力Fxij的关系:(1) Taking the sliding mode variable structure control as an example, the input is the expected yaw moment M, and the relationship between M and the longitudinal force F xij can be obtained from the vehicle dynamics model:

M=Fxfl·(sinδf·lf-d·cosδf/2)+Fxfr·(sinδf·lf+d·cosδf/2)-Fxrl·d/2+Fxrr·d/2根据得到的期望横摆力矩得到期望的纵向力,再由轮胎公式可以查表得到期望的滑移率λ,进而输入到滑模控制器中,进行进一步求解。M=F xfl ·(sinδ f ·l f -d ·cosδ f /2)+F xfr ·(sinδ f ·l f +d ·cosδ f /2)-F xrl ·d/2+F xrr ·d/ 2 According to the obtained expected yaw moment, the expected longitudinal force can be obtained, and then the expected slip rate λ can be obtained by looking up the table from the tire formula, and then input into the sliding mode controller for further solution.

Figure BDA0001973913640000061
Figure BDA0001973913640000061

Figure BDA0001973913640000062
Figure BDA0001973913640000062

Figure BDA0001973913640000063
Figure BDA0001973913640000063

Figure BDA0001973913640000064
Figure BDA0001973913640000064

Figure BDA0001973913640000065
Figure BDA0001973913640000065

其中

Figure BDA0001973913640000066
这样就可以得到车轮应有的输出转矩。in
Figure BDA0001973913640000066
In this way, the proper output torque of the wheel can be obtained.

(2)以LQR控制为例,计算出车轮需要变化的力矩ΔTij,再根据失效情况对正常工作的车轮进行力矩调整。(2) Taking LQR control as an example, calculate the torque ΔT ij that the wheel needs to change, and then adjust the torque of the normal working wheel according to the failure situation.

Figure BDA0001973913640000067
Figure BDA0001973913640000067

Figure BDA0001973913640000068
Figure BDA0001973913640000068

其中,M为上层控制器得到的附加横摆力矩,R表示车轮半径,df、dr为前、后轴距,lf、lr为质心到前、后轴的距离,δf为前轮转角。Among them, M is the additional yaw moment obtained by the upper controller, R is the wheel radius, d f and d r are the front and rear wheelbases, l f and l r are the distances from the center of mass to the front and rear axles, and δ f is the front and rear axles. Turning angle.

若左前轮失效,If the left front wheel fails,

则右前轮的期望力矩为:Then the expected torque of the right front wheel is:

Figure BDA0001973913640000069
Figure BDA0001973913640000069

则右后轮的期望力矩为:Then the expected torque of the right rear wheel is:

Figure BDA0001973913640000071
Figure BDA0001973913640000071

则左后轮的期望力矩为:Then the expected torque of the left rear wheel is:

Figure BDA0001973913640000072
Figure BDA0001973913640000072

其他车轮失效,则有相对应的算法。If other wheels fail, there are corresponding algorithms.

两种下层控制策略可以实现软件冗余,若其中一种出现较大偏差,可由另一种进行补偿。Two lower-level control strategies can achieve software redundancy, and if one of them has a large deviation, the other can be compensated.

应当理解的是,对本领域普通技术人员来说,可以根据上述说明加以改进或变换,而所有这些改进和变换都应属于本发明所附权利要求的保护范围。It should be understood that, for those skilled in the art, improvements or changes can be made according to the above description, and all these improvements and changes should fall within the protection scope of the appended claims of the present invention.

Claims (2)

1. A fault-tolerant control strategy of a driving system of a distributed driving electric automobile is characterized in that in the driving system of the electric automobile, an upper-layer controller adopts sliding mode variable structure control, and a lower-layer controller adopts sliding mode variable structure control or LQR; the fault-tolerant control strategy comprises the following steps:
under the condition that a certain wheel is known to be invalid, fault-tolerant control of the vehicle is carried out by adopting a fault-tolerant control strategy;
and (3) upper layer control: selecting yaw velocity and mass center deflection angle of the vehicle as control targets, establishing a vehicle yaw moment control system under failure fault, and calculating to obtain an expected yaw moment through a sliding mode variable structure control strategy based on constraint of the yaw velocity and the mass center deflection angle;
and (3) controlling the lower layer: the dynamic and stability torque coordination optimization distribution strategy is realized through sliding mode variable structure control or LQR respectively, the distribution of wheel torque is calculated by combining an expected yaw moment, the torque redistribution is carried out on wheels which normally work, and the driving stability of the vehicle is ensured;
in the upper layer control, the sliding mode variable structure control is adopted to obtain the expected yaw moment of the vehicle; an additional yaw moment controller is designed, and a sliding mode variable structure is used for controlling to obtain an expected additional yaw moment M; selecting a centroid side slip angle beta and a yaw velocity gamma as state variables, inputting the errors of the centroid side slip angle beta and the yaw velocity gamma of the vehicle and actual values, and outputting the errors as M, wherein the formula is as follows:
s=eγ-c·eβ=γd-γ+c·(βd-β)
Figure FDA0003598193650000011
Figure FDA0003598193650000012
and is composed of
Figure FDA0003598193650000013
The following can be obtained:
Figure FDA0003598193650000014
wherein,
Figure FDA0003598193650000015
Figure FDA0003598193650000016
wherein c and epsilon are design parameters of the controller, beta is a centroid slip angle, and betadTo the desired centroid slip angle, gamma is the yaw rate, gammadPeriod of time ofThe expected yaw angular velocity, m is the overall vehicle servicing quality, vxFor longitudinal vehicle speed, Fyf、FyrTransverse forces, δ, of the front and rear wheels of the vehiclefAngle of rotation of front wheel, αf、αrIs a front and rear wheel side slip angle lf、lrIs the distance of the center of mass to the front and rear axes, kf、krFor front and rear wheel cornering stiffness, IZThe moment of inertia of the vehicle around the Z axis;
in the lower-layer control, a dynamic and stable torque coordination optimization distribution strategy is adopted, two control strategies are realized through sliding mode variable structure control or LQR, software redundancy is realized, and the condition of software errors is reduced;
the specific method for adopting the sliding mode variable structure control strategy in the lower layer control comprises the following steps:
in the upper layer control, a desired driving moment T is obtained by using sliding mode variable structure control; firstly, establishing a relation between an additional yaw moment M and a longitudinal slip ratio lambda: obtaining an additional yaw moment M and a tire longitudinal force F through a dynamic equationxThe corresponding slip rate lambda is obtained by looking up a table through a magic formula, so that the expected additional yaw moment obtained by the upper-layer controller is converted to obtain the longitudinal slip rate lambda; establishing the relation between lambda and T through the slip ratio; selecting a longitudinal slip ratio lambda as a state variable, and taking an error between a desired value and an actual value as a control input to finally obtain a driving torque; the calculation formula is as follows:
Figure FDA0003598193650000021
Figure FDA0003598193650000022
Figure FDA0003598193650000023
Figure FDA0003598193650000024
Figure FDA0003598193650000025
wherein
Figure FDA0003598193650000026
Wherein λ is longitudinal slip ratio, λdQ is a sliding mode controller design parameter, v, for a desired longitudinal slip ratioxFor longitudinal vehicle speed, ω is vehicle angular velocity, R represents wheel radius, TtRepresenting the driving torque, mu being the road adhesion coefficient, FzThe vertical load of the vehicle is represented by J, the moment of inertia of the wheel is represented by g, and the gravity acceleration is represented by g;
the specific method for adopting the LQR control strategy in the lower-layer control comprises the following steps:
the moment distribution after failure is controlled by the LQR, the expected yaw moment is generated by applying driving forces with different magnitudes to four independently driven wheels, and the following formula is the moment variation quantity required by the four wheels obtained by controlling the moment distribution according to the LQR:
Figure FDA0003598193650000031
Figure FDA0003598193650000032
where M is the additional yaw moment obtained by the upper level controller, R represents the wheel radius, df、drFor front and rear wheelbases, /)f、lrIs the distance of the center of mass to the front and rear axes, δfIs the corner of the front wheel.
2. The fault-tolerant control strategy of the driving system of the distributed driving electric automobile according to claim 1, characterized in that a dynamic and stability torque coordination optimization distribution strategy in the lower layer control adds longitudinal driving force, can provide maximum driving force and takes the maximum ground adhesion as the constraint condition aiming at the vehicle driving theory:
tire friction ellipse limit:
Figure FDA0003598193650000033
road adhesion and limitation of longitudinal force to be able to provide maximum driving force:
max(-μFzi,-Fm)≤Fxi≤min(μFzi,Fm)
wherein, FxiAs longitudinal force of the wheel, FyiAs lateral wheel forces, FziIs the vertical wheel load, mu is the road adhesion coefficient, FmIs the maximum value of the wheel longitudinal force.
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